Some of the Persian satraps of Daskyleion are mentioned in Greek sources, such as Pharnabazus (late 5th century/early 4th century B.C.).
Midas was a king of Phrygia. I suppose the Phrygians must have invented mufflers.
Phrygia may have been under Lydian rule in the reign of king Croesus, just before the Persian conquest of Asia Minor, but the Phrygians and Lydians are quite distinct. Both spoke Indo-European languages, but Lydian was related to the languges spoken in Anatolia in the second millennium BC (Hittite, Luwian, and Palaic), whereas Phrygians invaded later from the Balkans--their language was closer to Greek than it was to Lydian.
Homer has Phrygians in Asia Minor already at the time of the Trojan War but that's probably a mistake. Even Homer nods...